# How do you solve the equation #2(x+2)^2=72#?

##### 4 Answers

#### Answer:

#### Explanation:

#### Answer:

#### Explanation:

First divide both sides by two to get

#### Answer:

#### Explanation:

Divide both sides by 2

#rArr2/2(x+2)^2=72/2#

#rArr(x+2)^2=36# Take the

#color(blue)"square root of both sides"#

#sqrt((x+2)^2)=color(red)(+-)sqrt36#

#rArrx+2=color(red)(+-)6#

#• x+2=color(red)(6)# subtract 2 from both sides.

#xcancel(+2)cancel(-2)=6-2#

#rArrx=4#

#• x+2=color(red)(-6)#

#rArrx=-8#

#color(blue)"as a check"# Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

#x=4to2(4+2)^2=2xx36=72to" true"#

#x=-8to2(-8+2)^2=2xx36=72to" true"#

#rArrx=-8" or " x=4" are the solutions"#